How could you show that two fractions are equivalent?

I am not really sure if that what the question asks for, but I know it is right;
By simplifying them to the smallest value of fraction possible, if the 2 simplified fractions are equal then you proved the equity of both fractions.
For Example;
Prove that  is equal to 
Solution: Simplify;

Similarly,

So both are

Hope this helps!

Given two points A(x₁,y₁) and B(x₂,y₂), the midpoint "M" between A and B will be:
M((x₁+x₂)/2 , (y₁+y₂)/2)

Data: 
UV(5,-11)
U(3,5)
V(x₂,y₂)

Therefore:
(3+x₂)/2=5      ⇒x₂=5*2-3=10-3=7
(5+y₂)/2=-11   ⇒y₂=-11*2-5=-27

Hence:
V(7,-27)